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Finding the Fourth Proportional to 149,204, 223,893.84 and 66,098.72

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Solution

The fourth proportional to 149,204, 223,893.84 and 66,098.72 is: 99,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,204 : 223,893.84 = 66,098.72 : x
  2. Step 2: Convert to fraction form
    149,204/223,893.84 = 66,098.72/x
  3. Step 3: Cross multiply
    149,204x = 223,893.84 × 66,098.72
  4. Step 4: Simplify right side
    149,204x = 14,799,096,239.88
  5. Step 5: Solve for x
    x = 14,799,096,239.88/149,204
  6. Step 6: Final answer
    x = 99,186.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.